Am I allowed as a minor to copyright materials and trademark names in Utah?
Federal law governing copyright, and state and federal law governing trademark, do not make any stipulations about the person enjoying the particular property right. In lieu of a specific restriction, the person may be an alien, a prisoner, a public employee, a corporation, or an astronaut. There are limits on minors and contracts, but no contract is required to write a book, make a sculpture, or create a distinctive business mark. (Those limits potentially raise questions about a minor signing away their author's rights if they create a work for hire, which you didn't ask about. A contract is typically necessary to profit off of such a creation, but not always). The copyright office even says that you can register copyright (important, registration is necessary to get maximal protection). There is a bit of an issue that a minor has limited ability to sue (for infringement), so in Utah Rule 17 you would need a guardian to sue for you, likewise in federal court (same number!).